Diakoptics and the orthogonal model of an electrical network
Abstract
Based on the relationships between the topological entities associated with inverse matrices, the diakoptic solution of an electrical network uses an orthogonal reference and has greater generality than previously presented solutions. The resulting equations are applicable to subnetworks which are either mutually coupled or not, or which are coupled but without galvanic connections. The development of the solutions, involving the detailed use of matrices, includes the case of several subnetworks which if not coupled, results simply in an increase in the number of diagonal blocks in the matrix, and if coupled, the number of subnetworks equals, in the diagonal matrix, the number of rows and columns whose elements will be those of matrices with null elements whenever they relate to noncoupled subnetworks.
- Publication:
-
Alta Frequenza
- Pub Date:
- September 1979
- Bibcode:
- 1979AlFr...48..574C
- Keywords:
-
- Algorithms;
- Electric Networks;
- Network Analysis;
- Orthogonal Functions;
- Mathematical Models;
- Matrices (Mathematics);
- Network Synthesis;
- Topology;
- Electronics and Electrical Engineering